Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and
number line below to represent the number of hours, x, she can use the boat.
Emilia's Model
x = 6
0
2.
4
6
8.
10
12
14
Are Emilia's inequality and number line correct? Explain your reasoning by completing the
statements. Click the arrows to choose an answer from each menu.
Emilia's inequality, 2 < 6 is
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because the number of hours is
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Emilia's number line is
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. The endpoint Choose...
filled in and the
number line
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of the endpoint.
Answers
Given :- Emilia pays $24 to rent a boat at the lake for up to 6 hours. She constructs the inequality and number line below to represent the number of hours .
Answer :-
→ Emilia inequality for x number of hours = x ≤ 6 .
since, she pays $24 for upto 6 hours , she can use boat from 0 hours to maximum 6 hours .
therefore, Emilia's inequality x ≤ 6 is correct because the number of hours is less than or equal to 6 .
now, from image, we can see that, Emilia uses number line from 0 hours to 14 hours in number line .
But correct number should be from 0 hours to 1,2,3,4,5 and 6 hours only .
therefore, Emilia's number line is incorrect . The endpoint is filled in and the number line is greater than the endpoint.
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Given : Emilia pays $24 to rent a boat at the lake for up to 6 hours.
She constructs the inequality and number line below to represent the number of hours, x, she can use the boat.
To Find : Fill the space
Solution:
rent a boat at the lake for up to 6 hours.
Hence she can use boat for 6 hrs or less than 6 hrs
Hence inequality x ≤ 6 is correct because the number of hours is less than or equal to 6.
Emilia's number line is Incorrect.
( As it should be shaded on the left side of of the endpoint. , nor on right side )
The endpoint correctly filled as 6 is included in the solution.
The number line should be shaded on the left side of of the endpoint.
as hour are less than or equal to 6.
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